Final answer to the problem
$y=\frac{1}{4\arctan\left(2x+1\right)}$
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Step-by-step Solution
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- Solve for y
- Solve for x
- Find the derivative
- Solve by implicit differentiation
- Solve for y'
- Find dy/dx
- Derivative
- Find the derivative using the definition
- Solve by quadratic formula (general formula)
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1
Applying the property of exponents, $\displaystyle a^{-n}=\frac{1}{a^n}$, where $n$ is a number
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$\frac{1}{y^{1}}=4\arctan\left(2x+1\right)$
Learn how to solve equations problems step by step online. Solve the equation with radicals y^(-1)=4arctan(2x+1). Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number. Any expression to the power of 1 is equal to that same expression. Take the reciprocal of both sides of the equation. Any expression divided by one (1) is equal to that same expression.
Final answer to the problem
$y=\frac{1}{4\arctan\left(2x+1\right)}$
